2561144300 has 216 divisors, whose sum is σ = 6862060800. Its totient is φ = 820934400.

The previous prime is 2561144293. The next prime is 2561144317. The reversal of 2561144300 is 34411652.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2561144300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4275401 + ... + 4275999.

It is an arithmetic number, because the mean of its divisors is an integer number (31768800).

Almost surely, 2^2561144300 is an apocalyptic number.

2561144300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431030400).

2561144300 is an abundant number, since it is smaller than the sum of its proper divisors (4300916500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561144300 is a wasteful number, since it uses less digits than its factorization.

2561144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2561144300 is about 50607.7494065879. The cubic root of 2561144300 is about 1368.1845525498.

Adding to 2561144300 its reverse (34411652), we get a palindrome (2595555952).

The spelling of 2561144300 in words is "two billion, five hundred sixty-one million, one hundred forty-four thousand, three hundred".